A plant produces sport drinks, which must be within 0.45 fluid ounces of the advertised 20 fluid ounces on the label. if x represents the volume, write an equation to model the maximum and minimum volumes and determine the minimum volume in a bottle.

Respuesta :

The equation for the minimum and maximum volume is:

|V - 20| = 0.45

And from that, we conclude that the minimum volume in a bottle will be 19.55 liquid ounces.

How to write an equation that represents the maximum and minimum volumes?

We know that the advertised volume is 20 fluid ounces, and the accepted error on that volume is of 0.45 fluid ounces.

This means that a bottle is accepted if it has any volume between the advertised volume minus the error, and the advertised volume plus the error.

Then, if we define V as the volume inside the bottle, we will have the inequality:

|V - 20| ≤ 0.45

That means that the difference between the real volume and the advertised volume is less than or equal to the accepted error.

The maximum and minimum volumes are given when we take the equal part of the sign, which is:

|V - 20| = 0.45

From that, we get the maximum and minimum:

V = 20 + 0.45 = 20.45

V = 20 - 0.45 = 19.55

Then the minimum volume in a bottle will be 19.55 liquid ounces.

If you want to learn more about volume:

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